A Treatise on Differential EquationsMacmillan, 1865 - 496 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 35.
Σελίδα 1
... Assume as this equation and let ( Ay ' + C ) dx ' + ( A'x ' + C ' ) dy ' = 0 ............ .. ( 1 ) x ' = x + my , y ... assumed equation the values of x ' and y ' , and comparing with the equation given , we deduce a system of relations ...
... Assume as this equation and let ( Ay ' + C ) dx ' + ( A'x ' + C ' ) dy ' = 0 ............ .. ( 1 ) x ' = x + my , y ... assumed equation the values of x ' and y ' , and comparing with the equation given , we deduce a system of relations ...
Σελίδα 2
... assumes a particular value ê , the function u reduces to a constant v . Then we have U - V C = v - k ― k K - K Now the second member being a function of an arbitrary constant is equivalent to an arbitrary constant and may be replaced by ...
... assumes a particular value ê , the function u reduces to a constant v . Then we have U - V C = v - k ― k K - K Now the second member being a function of an arbitrary constant is equivalent to an arbitrary constant and may be replaced by ...
Σελίδα 12
... assumed that a solution for which dy = 0 is always to count as a singular solution , even if it should coincide with a particular integral . This does not seem to have been quite the view of the former part of Chap- ter VIII . see Arts ...
... assumed that a solution for which dy = 0 is always to count as a singular solution , even if it should coincide with a particular integral . This does not seem to have been quite the view of the former part of Chap- ter VIII . see Arts ...
Σελίδα 16
... in their application . 2ndly . It may be that or dp d dy dx assumes for a particu- lar relation between x and y the indefinite form . In this case we must seek by the development of its terms 16 [ CH . XXI . ADDITIONS TO CHAPTER VIII .
... in their application . 2ndly . It may be that or dp d dy dx assumes for a particu- lar relation between x and y the indefinite form . In this case we must seek by the development of its terms 16 [ CH . XXI . ADDITIONS TO CHAPTER VIII .
Σελίδα 24
... assume the form du dx = f ( x , u ) . Now this equation being satisfied by u = 0 and the first member vanishing , the second must also . Poisson now assumes , and the assumption must be carefully noted , this second member to be capable ...
... assume the form du dx = f ( x , u ) . Now this equation being satisfied by u = 0 and the first member vanishing , the second must also . Poisson now assumes , and the assumption must be carefully noted , this second member to be capable ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
¹º arbitrary constants C₂ Cambridge Chap Chapter College complete primitive condition Crelle's Journal Crown 8vo deduce derived determine dF dF dF dF dF dF dp dF dx dFdF differential coefficients dp dF dP dP dP dp dp dx dp dq dp dx dp dy dq dp dv dv dx dF dx dp dx dx dx dy dy dx dz dx₁ dx² dy dp dy dq dy dx dy dz dz dy dz dz Edition eliminate equa Eton College expression Extra fcap factor given equation Hence J. P. MAHAFFY Jacobi Last Multiplier linear partial differential m₁ MACMILLAN'S EDUCATIONAL CATALOGUE ordinary differential equations Owens College P₁ partial differential equations particular integral Professor Boole revised School singular solution theorem theory tion u₁ u₂ values vanish X₁ Y₁ аф
Δημοφιλή αποσπάσματα
Σελίδα 43 - THE BIBLE IN THE CHURCH. A Popular Account of the Collection and Reception of the Holy Scriptures in the Christian Churches. New Edition.
Σελίδα 18 - With Notes and Illustrations. Also a collection of Problems, principally intended as Examples of Newton's Methods. By PERCIVAL FROST, MA Third Edition. 8vo.
Σελίδα 50 - Book VI. is fitted for higher Classes, and as an Introduction to English Literature. " They are far above any others that have appeared both in form and substance. . . . The editor of the present series has rightly seen that reading books must . aim chiefly at giving to the pupils the power of accurate, and, if possible, apt and skilful expression ; at cultivating in them a good literary taste, and at arousing a desire of further reading.
Σελίδα 45 - HALES— LONGER ENGLISH POEMS, with Notes, Philological and Explanatory, and an Introduction on the Teaching of English. Chiefly for Use in Schools. Edited by JW HALES, MA, Professor of English Literature at King's College, London.
Σελίδα 17 - HEMMING— AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use of Colleges and Schools. By GW HEMMING, MA, Fellow of St. John's College, Cambridge. Second Edition, with Corrections and Additions. 8vo.
Σελίδα 25 - They are wonderfully clear and lucid in their instruction, simple in style, and admirable in plan. , — EDUCATIONAL TIMES.
Σελίδα 45 - Hole. — A GENEALOGICAL STEMMA OF THE KINGS OF ENGLAND AND FRANCE. By the Rev. C. HOLE, MA, Trinity College, Cambridge. On Sheet, Is.
Σελίδα 33 - NATURE SERIES. THE SPECTROSCOPE AND ITS APPLICATIONS. By J. NORMAN LOCKYER, FRS With Coloured Plate and numerous Illustrations. Second Edition. Crown 8vo. 3*. 6d. THE ORIGIN AND METAMORPHOSES OF INSECTS.
Σελίδα 7 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.
Σελίδα 13 - TREATISE ON GEOMETRICAL OPTICS. Adapted for the use of the Higher Classes in Schools. By OSMUND AIRY, BA, one of the Mathematical Masters in Wellington College. Extra fcap.